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Finding the Third Proportional to 530,818,568 and 1,163,673,808

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Solution

The third proportional to 530,818,568 and 1,163,673,808 is: 2,551,034,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,818,568 : 1,163,673,808 = 1,163,673,808 : x
  2. Step 2: Convert to fraction form
    530,818,568/1,163,673,808 = 1,163,673,808/x
  3. Step 3: Cross multiply
    530,818,568x = 1,163,673,808 × 1,163,673,808
  4. Step 4: Simplify right side
    530,818,568x = 1,354,136,731,425,220,864
  5. Step 5: Solve for x
    x = 1,354,136,731,425,220,864/530,818,568
  6. Step 6: Final answer
    x = 2,551,034,973.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.